Question

In a class test, the sum of Anamika’s marks obtained in Maths and Science is 30. Had she got 2 marks more in Maths and 3 marks less in Science, the product of the marks would have been 210. Find the marks she got in the two subjects.

Answer 1

Let x = math marks

y = science marks

x + y = 30

y = 30 – x

(x + 2) (y – 3) = 210

(x + 2) (30 – x – 3) = 210

(x + 2) (27 – x) = 210

27x – 2x + 54 – x² – 210 = 0

–x² + 25x – 156 = 0

x² – 25x + 156 = 0

x² – 13x – 12x + 156 = 0

x(x – 13) – 12(x – 13) = 0

(x – 13) (x – 12) = 0

x = 13 and x = 12

y = 30 – 13 = 17 and y = 30 – 12 = 18

(13, 17) and (12, 18)